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We can define the difference of two vectors A and B as the
- a)sum of two vectors A and B' such that B' is equal to B multiplied by 0
- b)sum of two vectors A and B' such that B' is equal to B multiplied by -1
- c)sum of two vectors A and B' such that B' is equal to B multiplied by -2
- d)sum of two vectors A and B' such that B' is equal to B multiplied by 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
We can define the difference of two vectors A and B as thea)sum of two...
Explanation:
Vector subtraction is defined in the following way.
- The difference of two vectors, A - B , is a vector C that is, C = A - B
- The addition of two vector such that C = A + (-B). B has been taken in opposite direction.
Thus vector subtraction can be represented as a vector addition.
Most Upvoted Answer
We can define the difference of two vectors A and B as thea)sum of two...
The correct answer is option 'B': the difference of two vectors A and B is defined as the sum of vector A and the negative of vector B.
Explanation:
1. Definition of vector difference:
The difference of two vectors A and B, denoted as A - B, is defined as the sum of vector A and the negative of vector B.
2. Importance of negative vector:
The negative of a vector is a vector with the same magnitude but opposite direction. It is denoted as -B.
3. Applying the definition to the options:
a) The sum of vectors A and B, such that B is equal to B multiplied by 0, does not involve the negative of vector B. This option does not align with the definition.
b) The sum of vectors A and B, such that B is equal to B multiplied by -1, satisfies the definition. Multiplying vector B by -1 gives us the negative of vector B, which is then added to vector A.
c) The sum of vectors A and B, such that B is equal to B multiplied by -2, does not align with the definition. Multiplying vector B by -2 does not give us the negative of vector B.
d) The sum of vectors A and B, such that B is equal to B multiplied by 1, does not involve the negative of vector B. This option does not align with the definition.
4. Conclusion:
The correct answer is option 'B' because it satisfies the definition of vector difference. The difference of two vectors A and B is defined as the sum of vector A and the negative of vector B.
Explanation:
1. Definition of vector difference:
The difference of two vectors A and B, denoted as A - B, is defined as the sum of vector A and the negative of vector B.
2. Importance of negative vector:
The negative of a vector is a vector with the same magnitude but opposite direction. It is denoted as -B.
3. Applying the definition to the options:
a) The sum of vectors A and B, such that B is equal to B multiplied by 0, does not involve the negative of vector B. This option does not align with the definition.
b) The sum of vectors A and B, such that B is equal to B multiplied by -1, satisfies the definition. Multiplying vector B by -1 gives us the negative of vector B, which is then added to vector A.
c) The sum of vectors A and B, such that B is equal to B multiplied by -2, does not align with the definition. Multiplying vector B by -2 does not give us the negative of vector B.
d) The sum of vectors A and B, such that B is equal to B multiplied by 1, does not involve the negative of vector B. This option does not align with the definition.
4. Conclusion:
The correct answer is option 'B' because it satisfies the definition of vector difference. The difference of two vectors A and B is defined as the sum of vector A and the negative of vector B.
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We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer?.
We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer?.
Solutions for We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer?, a detailed solution for We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice We can define the difference of two vectors A and B as thea)sum of two vectors A and B' such that B' is equal to B multiplied by 0b)sum of two vectors A and B' such that B' is equal to B multiplied by -1c)sum of two vectors A and B' such that B' is equal to B multiplied by -2d)sum of two vectors A and B' such that B' is equal to B multiplied by 1Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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